In a two digit number, the digit in the unit place is thrice the digit in the tens place. The digit interchange their place if 36 is added to the number. Find the number.
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Answered by
2
Answer:
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Step-by-step explanation:
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Answered by
4
Answer: the number is 26
Step-by-step explanation:
Let the digit in the units place is x
.And the digit in the tens place be y.
Then x = 3y and the number = 10y + x
The number obtained by reversing the digits is 10x + y
If 36 is added to the number, digits interchange their places,
Therefore, We have:10y + x + 36 = 10x + y
➠ 10y – y + x + 36 = 10x + y - y
➠ 9y + x – 10x + 36 = 10x - 10x
➠ 9y - 9x + 36 = 0 or, 9x - 9y = 36
➠ 9(x - y) = 36
➠ 9(x - y)/9 = 36/9
➠ x - y = 4 ………. (i)
Substituting the value of x = 3y in equation (i),
We get:
3y - y = 4
➠ 2y = 4
➠ y = 4/2
➠ y = 2
Substituting the value of y = 2 in equation (i),
We get:
x - 2 = 4
➠ x = 4 + 2
➠ x = 6
Hence, the number becomes 26.
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